Rate, base percentage, percentage world problems example 

In percentage word problems, you typically work with three main elements: **Rate**, **Base**, and **Percentage**. Here's a quick breakdown:

1. **Rate**: The percentage rate, usually expressed as a percent (%).
2. **Base**: The whole amount or the original quantity.
3. **Percentage**: The part or amount that comes from applying the rate to the base.

### Example Problem:
_A store is offering a 15% discount on a jacket that costs $120. What is the discount amount, and what will the customer pay after the discount?_

**Solution**:

1. **Identify the parts**:
   - **Rate**: 15% (the discount percentage)
   - **Base**: $120 (the original price of the jacket)
   - **Percentage**: We are solving for this (the amount of the discount)

2. **Use the percentage formula**:  
   \[
   \text{Percentage} = \text{Rate} \times \text{Base}
   \]  
   \[
   \text{Percentage} = 15\% \times 120 = \frac{15}{100} \times 120 = 18
   \]

   So, the **discount amount** is $18.

3. **Final price**:
   Subtract the discount from the original price:  
   \[
   120 - 18 = 102
   \]
   The customer will pay **$102** after the discount.

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Here are 5 related questions to practice:
1. A TV is on sale for 20% off. If the original price is $400, what is the sale price?
2. A restaurant bill is $85, and you want to leave a 18% tip. How much is the tip?
3. A car dealership offers a 5% discount on a $25,000 car. How much is the discount?
4. An item that costs $50 is marked down by 10%. What is the new price?
5. If a shirt originally costs $30 and is now $24, what is the percentage discount?

**Tip**: Always convert the percentage to a decimal (by dividing by 100) before applying it to the base value.

Rate, base percentage, percentage word problems example

Learn how to solve rate, base, and percentage word problems with this practical example. In this case, a 15% discount is applied to a jacket costing $120. This problem demonstrates how to calculate the discount and final price using the percentage formula. Suitable for Grades 5-7.

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